Question

As x --> -\infty , the function f(x)=-17x^4 --> _____

a) - \infty
b) \infty
c) neither of these

Answer 1

Do you know end behavior of polynomials?

Answer 2

Uh, it's something to do with the powers and the sign, I think?

Answer 3

^4 would be even...
So both ends of the graph go up?

Answer 4

Yup

Answer 5

But the negative sign makes both ends go down instead...?

Answer 6

Yup, so both sides go down to -infinity

Answer 7

But this is asking for x as it goes left on the x-axis, right?
But there are two possibilities because it's a parabola.
I'm guessing the answer is c) neither of these?